Re: [計量] 請問一題計量 (排列組合)
※ 引述《FenderST54 (Fender)》之銘言:
: 排列組合一直是我的大罩門 P C常常搞混~"~
: A box contains 100 balls, numbered from 1 to 100. If there balls are selected
: at random and with replacement from the box, what is the probability that
: the sum of the three numbers on the balls selected from the box will be odd?
: 感謝解答
e: the ball selected from box is even
o: the ball selected from box is odd
有四種可能的組合
eee, oee, ooe, ooo
題目要的有oee跟ooo兩種
可是 oee的排列有3種可能(oee,eoe,eeo),而ooo只有一種
所以分子是 50^3*3+50^3
分母是 100^3
Ans: (50^3*3+50^3)/100^3=1/2
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